Parallel Equations
The slope of two parallel lines must be ________
Equal
The slope of two perpendicular lines must be ____________________.
Negative Reciprocals
Change Sign, Flip Fraction
Convert the slope-intercept equation (y = 3x - 5) to standard form.
3x-y=5
What does a scatter plot show?
It shows the relationship between two variables.
What is standard form of a linear equation?
Ax+By=C
Write the equation of a line parallel to (y = 2x + 3) that passes through the point (1, 2) in slope intercept form.
(Half points for point slope form and double for standard form)
(y = 2x +0)
Point slope: y-2=2(x-1)
Standard: 2x-y=0
Write the equation of a line that is perpendicular to (y = -3x + 2) and passes through the origin in slope intercept form. Half Point slope, double standard
Slope intercept: y=1/3x
Point Slope: y-0=1/3(x-0)
Standard: x-3y=0
Change the equation (2x + 3y = 6) into slope-intercept form.
y=-2/3x+2
Describe how you would find a trend line for a scatter plot with positive or negative correlation.
What information does standard form give us?
The x and y intercepts
If the equation of a line is y=1/4x +5, what is the equation of a parallel line that passes through (-4, 7) in slope intercept form
Half Point slope. Double Standard
Slope intercept: y=1/4x+8
Point Slope: y-7=1/4(x+4)
Standard: x-4y=-32
Write the equation of a line perpendicular to y = 4x + 1 that passes through the point (4, 3) in slope intercept form. Half point slope. Double Standard.
Slope intercept: y=-1/4x+4
Point Slope: y-3=-1/4(x-4)
Standard: x+4y=16
Convert the line equation y=1/2x+4 to standard form.
x-2y=-8
Sketch a scatter plot with a strong nonlinear correlation
Answers will vary
Sketch a graph that has the following intercepts, then determine the type of slope (Positive, Negative, Zero, Undefined)
X intercept: (-3, 0)
Y intercept: (0, 2)
Graph, Positive
Find the equation of a line that is parallel to x=3 that passes through (-2, 7) in any form.
x=-2
Find the equation of a line that is perpendicular to x=-1 and through the point (-4, 6) in any form.
y=6
If a line is given as (y + 2 = -1(x - 3)), convert it to standard form (half slope intercept form)
Slope Intercept: y=-1x+1
Standard: x+y=1
Sketch a scatter plot perfect negative correlation, then include the line of fit.
List 3 things make a linear equation not be in standard form.
A is negative
Both A & B are zero
A, B & C have a common factor
It is in another form
A, B or C are not integers (Fractions, decimals, etc.)
x and y are not on the same side, or C is on the same side as x and y
Write the equation of a line parallel to 2x - 4y = 3 that passes through the point (4, -1) in slope intercept form.
Half point slope. Double Standard
Parallel Slope = 1/2
Slope intercept: y=1/2x-3
Point Slope:y+1=1/2(x-4)
Standard: x-2y=6
Write the equation of a line perpendicular to 2x - 4y = 3 that passes through the point (4, -1) in slope intercept form.
Half point slope. Double Standard
Perpendicular Slope: -2
Slope Intercept: y=-2x+7
Point Slope: y+1=-2(y-4)
Standard: 2x+y=7
Why is it important to be able to convert between different forms of linear equations?
Answers Vary
Explain why it is important to use a trend line in data analysis.
It can help you see a relationship in the data.
Write the standard form of the equation for a line that passes through the points (2, 3) and (4, 7).
100 - Slope Only
200- Point Slope
300- Slope Intercept
Standard: 2x-y=1
Slope: 2
Point Slope: y-3=2(x-2) OR y-7=2(x-4)
Slope Intercept: y=2x-1